252132240 has 80 divisors (see below), whose sum is σ = 786110400. Its totient is φ = 66848256.

The previous prime is 252132229. The next prime is 252132241. The reversal of 252132240 is 42231252.

252132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (252132241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40026 + ... + 45894.

It is an arithmetic number, because the mean of its divisors is an integer number (9826380).

Almost surely, 2^252132240 is an apocalyptic number.

252132240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393055200).

252132240 is an abundant number, since it is smaller than the sum of its proper divisors (533978160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252132240 is a wasteful number, since it uses less digits than its factorization.

252132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252132240 is about 15878.6724885930. The cubic root of 252132240 is about 631.7464266081.

Adding to 252132240 its reverse (42231252), we get a palindrome (294363492).

The spelling of 252132240 in words is "two hundred fifty-two million, one hundred thirty-two thousand, two hundred forty".